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Finding the Fourth Proportional to 12,789.29, 17,649.69 and 7,046.98

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Solution

The fourth proportional to 12,789.29, 17,649.69 and 7,046.98 is: 9,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.29 : 17,649.69 = 7,046.98 : x
  2. Step 2: Convert to fraction form
    12,789.29/17,649.69 = 7,046.98/x
  3. Step 3: Cross multiply
    12,789.29x = 17,649.69 × 7,046.98
  4. Step 4: Simplify right side
    12,789.29x = 124,377,012.44
  5. Step 5: Solve for x
    x = 124,377,012.44/12,789.29
  6. Step 6: Final answer
    x = 9,725.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.